Answers
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
Related Questions
An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?
Answers
Answer:
The measures of the other interior angles are 15° and 105°
Step-by-step explanation:
The given parameter of the measures of the interior angles of the triangle are;
The measure of one of the interior angle of the triangle = 60°
The ratio of the measure of the other interior angles = 1 : 7
Let the x represent one of the other interior angles and y represent the third interior angle, we have;
x + y = 180 - 60 = 120
x : y = 1 : 7
x = 1 part of 8 parts of 120°
y = 7 parts of 8 parts of 120°
Therefore;
x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°
x = 15°
y = 7/(1 + 7) = 7/8 × 120° = 105°
y = 105°
The measures of the other interior angles are 15° and 105°.
Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in
2 hours. Who hikes more quickly?
Julio hikes the first 1/2 mile of the trail in 1/4 hour.
Answers
Answer:
Julio hikes more quickly.
Karen tiene $ 25 en su cuenta de ahorros. Si ahorra $ 15 cada semana, ¿cuánto dinero tendrá en su cuenta después de 9 semanas?
Answers
Answer:
$160
Step-by-step explanation:
1 5
× 9
-----------------
1 4
1 3 5
135+25
=160
mn/6 + 10; use m = 7, and n = 6
Answers
Answer:
2.62500
Step-by-step explanation:
just use a calculator
The value of the expression mn/6 + 10 at m = 7 and n = 6 is 17.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as follows,
mn/6 + 10
Its value can be found at m = 7 and n = 6 as follows,
mn/6 + 10
= (7 × 6)/6 + 10
= 7 + 10
= 17
Hence, the value of the given expression at m = 7 and n = 6 is 17.
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Help please it’s needed
Answers
Answer:
The reasonings I provided are just examples (they are true, though!). Hope this helps!
The difference between (4 tens 12 tenths and 25 hundredths) and (3 tens 14 tenths and 45 thousandths) is
Answers
30 + 1.4 + .045 = 31.445
41.450 - 31.445 = 10.005
or one ten 5 thousandths
ANSWER ASAP PLS
There are 21 boys and 6 girls in Mr. Sams homeroom. What is the ratio of girls to boys? (in simplest form)
ill make u brainliest
Answers
Answer:
21/6 can be divided by 3, so 7/2
7/2 cannot be divided into any more shared factors, so final answer is 7:2.
Sorry but need help again! 10 points and if two people answers brainiest goes to first!! :)
Answers
Answer:
B. Domain is left to right so the left point is solid on 2 and the right is solid on 8. The solid point means it can also be equal to.
Answer:
B) {x : 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8 }
Step-by-step explanation:
The function of the graph's x values are between 2 and 8, but the dots at the ends of the function are closed, hence the answer is
2 [tex]\leq[/tex] x [tex]\leq[/tex] 8
How do you solve the equation above using substitution? Please show work :)
Answers
Answer:
the solution is (21/2, 19/2)
Step-by-step explanation:
The first equation, x = y + 1, has already been solved for x. We can eliminate x in the second equatin by substituting y + 1 for x:
y = -(1/3)(y + 1) + 6
Let's eliminate fractions by multiplying all three terms by 3:
3y = y + 1 + 18
Combining like terms results in:
2y = 19, so that y = 19/2.
Substituting this 19/2 for y in the first equation, we get:
19/2 + 2/2 = x, or
x = 21/2
Thus the solution is (21/2, 19/2)
The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what percentage of the armadillos are between 13 and 17 years old? 20.33% 49.38% 47.62% 79.05%
Answers
Answer:
20.33%
Step-by-step explanation:
Answer:
D) 79.05%
Step-by-step explanation:
I JUST TOOK DA TEST
1. Stacey earns $15 each week plus 5.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can
she use to find the number of customers she needs to make exactly $25?
Answers
Step-by-step explanation:
Let the no. Of customers be N.
25 = 15 + 5.5N
This is the required eqn.
Stacey can use the formula, 25 = 15 + 5.50x to find out the number of customers she needs to make $25 weekly.
Stacey makes $15 in a week without having any customers. She will however, make $5.50 for every customer on her paper route.
The expression for the amount she makes per customer and assuming the number of customers is represented by x is therefore:
= Amount per customer × Number of customers
= 5.50 × x
= 5.50x
When this is added to the amount she makes without customers it is:
= 15 + 5.50x
Stacey wants to make $25 per week using the above expression so the full expression would be:
25 = 15 + 5.50x
In conclusion, Stacey can find the total number of customers she needs to make $25 per week by the expression 25 = 15 + 5.50x.
Find out more at https://brainly.com/question/20806257.
What is HB? Triangle Mid-segment Theorem
Answers
Answer:
HB = 13
Step-by-step explanation:
In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.
Therefore by Mid-segment Theorem.
[tex]AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}[/tex]
All of the following would be evidence that you do not have a normal distribution except:
A. the presence of multiple modes
B. the fact that 75% of the observations have a value below the mean
C. a normal quantile plot suggests an obviously curved line
D. the likelihood for all values of x is the same
E. none of the above.
will mark brainliest :)
Answers
None of the above given statements are the evidence that you do not have a normal distribution.
What is Normal distribution?A function that represents the distribution of many random variables as a symmetrical bell-shaped graph.Mathematically, we can write the probability density function as -[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]
where -
f(x) : probability density function
σ : standard deviation
μ : mean
Given are the statements regarding the normal distribution.
Of the given statements, none of the above are the evidence that you do not have a normal distribution
Therefore, none of the above given statements are the evidence that you do not have a normal distribution.
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19
For every 1 litre of water used to make a medicine, 200 ml of sucrose and 300ml of saline
solution are used. Express the amount of water, sucrose and saline solution needed as a ratio
in its simplest form.
Answers
Answer:
10:2:3
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
Answer:
10 : 2 : 3
Step-by-step explanation:
Water used = 1 litre = 1000ml
Sucrose used = 200ml
Saline used = 300ml
Ratio:
1000 : 200 : 300
10 : 2 : 3
The amount of water, sucrose and saline solution as a ratio = 10 : 2 : 3
what is 62.686 in expanded form
Answers
Answer:
60 + 2 + 0.6 + 0.08 + 0.006
Step-by-step explanation:
you break it up into columns and whatever is before it becomes a 0 as a place holder.
i hope this helps :))
Please help its my last question and I really need to submit this right about now. I’m not sure what the answer is and how I do it
Answers
Answer:
I legit answered this its 6/10
Edit: y = -6/10x + 100
Step-by-step explanation:
Change in y over change in x
60/100
6/10
Proving the Parallelogram Diagram Theorem
Given: ABCD is a Parallelogram. Diagonals AC,BD intersect at E.
Prove AE = CE and BE =DE
THE AWNSWERS ARE IN THE PICTURE FROM 4 DOWN SOME POSTED A PICTURE WITH THE 4 UP HERE TO HELP :)
Answers
Answer:
Did you learn about equal rectangles? we can prove AEB and CED are equal, which results in what we need to prove here
AE = CE and BE = DE. This can be proved with the help of the properties of congruent triangles.
What is a parallelogram?'A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.'
According to the given problem,
ABCD is a parallelogram.
We know,
BC ║ AD and BC ≅ AD
From, the properties of a parallelogram,
∠CBD = ∠ADB
∠BCA = ∠DAC
We know, two lines are parallel and alternate interior angles of the parallelogram are equal.
Also, Δ BEC ≅ ΔAED (Angle-Side-Angle)
Therefore, AE ≅ CE ( The properties of congruent triangles )
BE ≅ DE ( The properties of congruent triangles )
Hence, we can conclude, in the parallelogram ABCD, AE = CE and BE = DE from the properties of congruent triangles.
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Help plz idc who.... Thx:)
7/12 of a foot = how many inches
Answers
Answer:
Required Answer:-As we know that
[tex]\sf 1 \:Foot=12inches [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{12}}\:of \; 12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{{\cancel {12}}}}\times{\cancel { 12 }}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf 7inches}}}[/tex]
How much does a customer pay for an article marked at $50 if a sales tax of 6% is charged?
Answers
Answer:
53$
Step-by-step explanation:
6% of 50 is 3, 50+3=53
find the slope of the line going through the points (10,8) and (8,36) enter your answer in simplest form
Answers
Answer:
-14x
Step-by-step explanation:
(y2-y1)/ (x2-x1)
(36-8)/(8-10) = 28/-2 = -14
3. Macys is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bil total after applying the discount of 35%?
Answers
Answer:
43.575
Step-by-step explanation:
124.50×.35=43.575
Which expression is equivalent to 3n+2(1-4n)?
A. 2-n
B. 2-5n
C. 2+11n
D. 2-11n
Answers
Answer:
The Answer is B. 2-5n
Step-by-step explanation:
Multiply 2 by everything within the parenthesis and it leaves you with 3n+ 2-8n
Then combine like terms which are +3n and -8n which leaves you with -5n
The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.
(A) 1.8
(B) 2
(C) 8/9
Answers
The difference is 18, 13 is bc the tenth term so divide 18 by 10 to get 1.8
value expressions-10-(-4)=
Answers
Answer:
6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
-10 - (-4)
-10 + 4 = -6
this is just to understand it more:
10 negatives
- - - - - - - - - -
+ + + +
4 positives
the 4 positives cancel out the 4 negatives which leave you with 6 negatives left -6 is the answer
Which row of Pascal’s triangle would you use to expand (2x + 10y)15? row 10 row 12 row 15 row 25
Answers
Answer:
Row 15 is correct
Step-by-step explanation:
Pascal's triangle:
1 n = 0 , Row = 0
1 1 n = 1 , Row = 1
1 2 1 n = 2 , Row = 2
:
.........
.......
For n = 0, Row number 1
For n = 1, Row number 2
For n = 2, Row number 3
We make pascal's triangle but sum of above two number, write below.
As we can see in pascal's triangle.
Exponent represent the number of row.
If binomial has exponent n then nth row of pascal's triangle use.
For
Here power is 15
So, we have to use 15 row of pascal's triangle.
Hence, Row 15 is correct
Answer:
the second part is 16
Step-by-step explanation:
PLEASE HELP!!!
Select all that apply. Which of the following statements are true of this equation? Select all that apply. 5 1/6 divided by 2 5/12 = 2 4/29
The dividend is 5 1/6
The divisor is 5 1/6
The dividend is second number in this equation.
The quotient is correct.
Answers
Answer:
2.137931034
Step-by-step explanation:
Just divide it using a calculator, although I don't know how to convert it into a fraction. Sorry!
10. Solve for A, rounding to the nearest degree:
tan A = 1.456
Answers
Please Factor x^2 +25.
Answers
Answer (it stays the same):
[tex]x^{2} + 25[/tex]
I hope this helps!
simplify 6-12b divided by 3a-6ab
Answers
Answer:
[tex]\frac{2}{a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{6-12b}{3a-6ab}[/tex] ← factor both numerator and denominator
= [tex]\frac{6(1-2b)}{3a(1-2b)}[/tex] ← cancel common factor (1 - 2b) on numerator/denominator
= [tex]\frac{6}{3a}[/tex] ← cancel 6 and 3 by 3
= [tex]\frac{2}{a}[/tex]
Help me find Z in the diagram
Answers
Answer:
z=68°
Step-by-step explanation:
z is congruent to the given angle
hopefully this helps :)
Answer:
z = 56°
Step-by-step explanation:
Since the 2 sides are congruent then the triangle is isosceles, thus
The base angles are congruent, then
z = [tex]\frac{180-68}{2}[/tex] = [tex]\frac{112}{2}[/tex] = 56°